Flamm paraboloid: isometric embedding of a constant-time spatial slice of the Schwarzschild geometry
This program renders an embedding of a constant-time spatial slice of the Schwarzschild metric into Euclidean space. Outside the event horizon, the spatial geometry can be visualized as a Flamm paraboloid, where the radial coordinate maps to a surface of revolution that flares outward as it approaches the Schwarzschild radius. The curvature of this surface encodes the spatial distortion caused by the gravitating mass.
Controls: Click and drag to orbit, scroll to zoom.